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Simplifying -2(k + 1) * x + 4 = 0 Reorder the terms: -2(1 + k) * x + 4 = 0 Reorder the terms for easier multiplication: -2x(1 + k) + 4 = 0 (1 * -2x + k * -2x) + 4 = 0 Reorder the terms: (-2kx + -2x) + 4 = 0 (-2kx + -2x) + 4 = 0 Reorder the terms: 4 + -2kx + -2x = 0 Solving 4 + -2kx + -2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2kx + -4 + -2x = 0 + -4 Reorder the terms: 4 + -4 + -2kx + -2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2kx + -2x = 0 + -4 -2kx + -2x = 0 + -4 Combine like terms: 0 + -4 = -4 -2kx + -2x = -4 Add '2x' to each side of the equation. -2kx + -2x + 2x = -4 + 2x Combine like terms: -2x + 2x = 0 -2kx + 0 = -4 + 2x -2kx = -4 + 2x Divide each side by '-2x'. k = 2x-1 + -1 Simplifying k = 2x-1 + -1 Reorder the terms: k = -1 + 2x-1
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